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Unformatted text preview: ECE-2025 Spring-2009 Lecture 20 Frequency Response of Continuous-Time Systems 30-Mar-09 fo: Lab & HW Info: Lab & HW Quiz #2 Resolve grades by 31-March (Tuesday) ab #9: Cochlear ilterbank FORMAL Lab: Lab #9: Cochlear Filterbank is FORMAL Lab: Lab #9 Full Report starting on Wed, 1-April emo your working system when you turn in the report Demo your working system when you turn in the report HW #10 due this week (30-March) ( ) Quiz #3 will be 17-April (Friday) 3/29/2009 ECE-2025 Spring-09 jMc 2 onvolve Unit Steps Convolve Unit Steps ) ( ) ( t u t x = ) ( ) ( t u t h = ) ( ) ( ) ( ) ( ) ( t h t x d t h x t y = = 1 ) ( ) ( t d d t u u > = = t t t > < 3/29/2009 ECE-2025 Fall-03 jMc 3 ) ( t u t t = < = Unit Ramp Stability & Causality r LTI Systems for LTI Systems A system is stable if every bounded input produces a bounded output. A continuous-time LTI system is stable if and only if h ( t ) dt < A system is causal if and only if y(t ) depends only on x( ) for < t An LTI system is causal if and only if r 3/29/2009 ECE-2025 Fall-03 jMc 4 for ) ( < = t t h Lecture Convolution GUI: Sinusoid 3/29/2009 ECE-2025 Fall-03 jMc 5 Lecture EADING ASSIGNMENTS READING ASSIGNMENTS This Lecture: Chapter 10, all ther Reading: Other Reading: Recitation: Ch. 10 all, start Ch 11 ext Lecture: Chapter 11 Next Lecture: Chapter 11 3/29/2009 ECE-2025 Fall-03 jMc 6 ECTURE OBJECTIVES LECTURE OBJECTIVES Review of convolution THE THE operation for LTI LTI Systems Complex exponential input signals Frequency Response Cosine signals Real part of complex exponential ourier Series thru (j Fourier Series thru H(j ) These are Analog Filters 3/29/2009 ECE-2025 Fall-03 jMc 7 TI Systems LTI Systems onvolution defines an LTI system...
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